Advanced Fourier Analysis (seminar)

Wednesday 09:15 – 10:45, Augusteum, A-314

Program

The individual talks will be planned and distributed in the first session on October 15.

Contents

The program of the seminar will be flexibly adjusted to the preliminary knowledge of the participants. There will be talks available for everybody with an honest interest in Fourier analysis. Suggested topics:

  • Fourier series
  • Fourier transform for functions and distributions
  • Payley-Wiener theorems
  • Hardy spaces
  • Applications to PDEs
  • Optional: basic harmonic analysis

Requirements

Analysis I-II, Linear Algebra I-II, Measure and Integration Theory. Ideally: Lie Groups and Lie Algebras

Literature

Lars Hörmander, The Analysis of Linear Partial Differential Operators I
Paul Koosis, The Logarithmic Integral I
T.W. Körner, Fourier Analysis
Sigurdur Helgason, Groups and Geometric Analysis